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Finding the Fourth Proportional to 38,540.22, 57,810.03 and 19,825.50

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Solution

The fourth proportional to 38,540.22, 57,810.03 and 19,825.50 is: 29,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.22 : 57,810.03 = 19,825.50 : x
  2. Step 2: Convert to fraction form
    38,540.22/57,810.03 = 19,825.50/x
  3. Step 3: Cross multiply
    38,540.22x = 57,810.03 × 19,825.50
  4. Step 4: Simplify right side
    38,540.22x = 1,146,112,749.77
  5. Step 5: Solve for x
    x = 1,146,112,749.77/38,540.22
  6. Step 6: Final answer
    x = 29,738.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.